The cost of mailing a first-class letter is $0.46 for the first ounce and $0.20 for each additional ounce or portion of an ounce. Y is the total cost for mailing a letter that weighs x ounces. What is the cost of mailing a first class letter weighing 2.5 ounces based on the guidelines given in the previous problem?

Answer:

[tex]125.4\ \text{m/s}[/tex]

Step-by-step explanation:

u = Initial velocity of baseball

[tex]\theta[/tex] = Angle of hit = [tex]30^{\circ}[/tex]

x = Displacement in x direction = 400 ft

y = Displacement in y direction = 15 ft

[tex]y_0[/tex] = Height of hit = 2.5 ft

[tex]a_y[/tex] = g = Acceleration due to gravity = [tex]32.2\ \text{ft/s}^2[/tex]

t = Time taken

Displacement in x direction

[tex]x=u_xt\\\Rightarrow x=u\cos\theta t\\\Rightarrow t=\dfrac{x}{u\cos\theta}\\\Rightarrow t=\dfrac{400}{u\cos30^{\circ}}\\\Rightarrow t=\dfrac{400}{u\dfrac{\sqrt{3}}{2}}\\\Rightarrow t=\dfrac{800}{u\sqrt{3}}[/tex]

Displacement in y direction

[tex]y=y_0+u_yt+\dfrac{1}{2}a_yt^2\\\Rightarrow y=y_0+u\sin\theta t+\dfrac{1}{2}a_yt^2\\\Rightarrow 15=2.5+u\sin30^{\circ}(\dfrac{800}{u\sqrt{3}})+\dfrac{1}{2}\times -32.2\times (\dfrac{800}{u\sqrt{3}})^2\\\Rightarrow \dfrac{400}{\sqrt{3}}-\dfrac{10304000}{3u^2}-12.5=0\\\Rightarrow 218.44=\dfrac{10304000}{3u^2}\\\Rightarrow u=\sqrt{\dfrac{10304000}{3\times218.44}}\\\Rightarrow u=125.4\ \text{m/s}[/tex]

The minimum initial velocity needed for the ball to clear the fence is [tex]125.4\ \text{m/s}[/tex]

Answer: a = 3

Step-by-step explanation:

Answer:is 5 because it multiply by 5.

Step-by-step explanation:

Answer

not a function

Step-by-step explanation:

Answer:

kk

Step-by-step explanation:

ok

Answer:

is it 20% I'm not really sure

Answer:

$71.74

Step-by-step explanation:

Given:

Old price of the jacket  = $ 80

Discount = 15 %

Therefore, discounted price =

Now, sales tax = 5.5 % on discounted price =

Therefore, the new price of the jacket after discount and paying sales tax is given as:

New price = Discounted price + Sales tax

New price = $ 68 + $ 3.74 = $ 71.74

So, the new price of the jacket is $ 71.74.

Answer:

6(2 + 7)

Step-by-step explanation:

I hope this helps!

Answer:

f−1(x)=5x4−5

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

Answer:

Step-by-step explanation:

Percentage of purebred dogs in shelters: 25% Number cats and dogs adopted from shelters each year: 4 million. Percentage of cats euthanized in shelters: 70% Percentage of total shelter intake comprised of cats: Approximately 50% (but in some regions 2/3 of shelter population is cats)

Answer:

70 puppies

Step-by-step explanation:

Find 10% which is 200÷10=20

20*3=60=30%

20÷2=10=5% so 60+10=70 puppies

Answer:

12 units squared.

Step-by-step explanation:

The formula for the area of a trapezoid is 1/2(base1+base2)*height.  First, add the two bases together.  4+8=12.  Then multiply that number by both 1/2 and the height, 2.  1/2*2*12 equals 12 units squared.

just look at the graph fam its 18 pens

Answer:

294 inches

Step-by-step explanation:

Similar figures have congruent corresponding angles and proportional corresponding sides.

Answer:

x = 8

x = 7

Step-by-step explanation:

Solving    x2-15x+56 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     1

                     B   =   -15

                     C   =   56

Accordingly,  B2  -  4AC   =

                    225 - 224 =

                    1

Applying the quadratic formula :

              15 ± √ 1

  x  =    —————

                   2

So now we are looking at:

          x  =  ( 15 ± 1) / 2

Two real solutions:

x =(15+√1)/2= 8.000

or:

x =(15-√1)/2= 7.000

Answer:

1 to 6

Step-by-step explanation:

the ratio is found by dividing 18 by 3 which is 6.

basically, one squirrel per 6 acorns

Answer: 60

Just put 60 :)

Answer:

C

Step-by-step explanation:

3x+y=10---(1)

7x+2y=24---(2)

From(1)

3x+y=10

y=10-3x---(3)

Substitute(3)into(2)

7x+2y=24

7x+2(10-3x)=24

7x+20-6x=24

x+20=24

x=24-20

x=4

Substitute x=4 into (1)

3x+y=10

3(4)+y=10

12+y=10

y=10-12

y=-2

Answer:

y=2/3x-11/3

Step-by-step explanation:

First, find the slope.

m= y2-y1/x2-x1

-3+5/1+2 = 2/3

Slope is 2/3

Now, pick one of the coordinates and use that and the slope to put it in point-slope form.

Point slope form: y-y1=m(x-x1)

Let's use (1,-3)

y+3=2/3(x-1)

Distribute 2/3 to (x-1) and simplify to get the equation in slope-intercept form.

y+3=2/3x-2/3

y=2/3x-11/3

Answer:

y=2/3x-11/3

Step-by-step explanation:

use slope formula and slope intercept form. y=mx+b

Answer:

B Find the next two terms If it is geometric

Answer:

121

Step-by-step explanation:

trust me i got you wuth that 2016 throwback

Answer:

the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams is 0.7284

Step-by-step explanation:

Given that

mean weight = 3831 grams,

variance = 108,900

sample size n = 65

the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams = ?

Now standard error of mean = √( 108900 / 65 ) = 40.9314

z = +/- (45/40.9314)

z = +/-1.0994

so

P( -1.0994 <z< 1.0994 ) = P( z<1.0994 ) - (p<-1.0994 )

= 0.8642 - 0.1358

= 0.7284

Therefore the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams is 0.7284

Answer:

i believe it only has one solution, which would be x=12.

Step-by-step explanation:

Answer:

write Then finding matrix the system as a matrix equation, solve a matrix equation by the inverse of the coefficient , S 4X-5v=lle 25x-ley=19 X-ley= 19

Step-by-step explanation:

its in answer

Answer:

D

Step-by-step explanation:

I got it right in edg2020

Your question is incomplete. But the following graph describes the equation you have given.

Which graph represents z = (–3 + 4i) – (2 + i).

The graph which represents z = (–3 + 4i) – (2 + i) is attached with this answer.

We have,

z = (–3 + 4i) – (2 + i)

Now,

Simplify this given expression of complex number ;

i.e.

z = (–3 + 4i) – (2 + i)

z = -3 + 4i - 2 - i

We get,

z =  -5 + 3i

Now,

We will graph this z =  -5 + 3i complex number on cartesian coordinate,

So,  

In cartesian coordinate when we graph any complex number then the constant value i.e. (-5) is represented on the x-axis and the imaginary value i.e. (3i) will be on the y-axis.

Learn more about the complex number here:

https://brainly.com/question/10251853

#SPJ10

Answers:

================================================

Explanation:

Angle CFG is given to be 120 degrees.

The angle to the right that's adjacent to this is angle GFH. The two angles add to 180

(angle CFG) + (angle GFH) = 180

(120) + (angle GFH) = 180

angle GFH = 180 - 120

angle GFH = 60 degrees

-----------------------

Angle XGA is 70 degrees. Note how it corresponds to angle XHC since both angles are in the same northwest quadrant of their four-corner angle configuration.

Corresponding angles are congruent due to the parallel lines AB and CD.

This means angle XHC is also 70 degrees.

We'll use the same idea as in the last section

(angle XHC) + (angle GHD) = 180

(70) + (angle GHD) = 180

angle GHD = 180 - 70

angle GHD = 110 degrees

--------------------

Focus on triangle FGH.

We want to find angle FGH, which is the same as angle G when focusing solely on triangle FGH and no other points or triangles.

In the previous two sections, we found

This can be shortened to

Again we must focus solely on triangle FGH and nothing else.

So we have

Let's solve for G

F+G+H = 180 .... angles of a triangle always add to 180

60+G+110 = 180

G+170 = 180

G = 180-170

G = 10

For triangle FGH, angle G is 10 degrees.

This means angle FGH is 10 degrees.

Answer:

Step-by-step explanation:

3 sqrt 60 / 3 sqrt 20

3 gets cancelled

(sqrt 20 × sqrt 3)/sqrt 20

sqrt 20 gets cancelled

Sqrt 3 is the answer

Answer:

Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.

Step 2 Simplify by combining like terms on each side of the inequality.

Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

Hope that helped happy holidays!

Answer:

the answer is 2×2×3 I think

Step-by-step explanation:

[tex]Expression: \frac{40}{y - 16} [/tex]

[tex]When \: y=20, \: the \: value \: of \: the \: expression \: is \: \frac{40}{4} = 10 [/tex]